Properties

Label 13.8-5.0.2-2-2-2-2-2-2-2-2-2.7
Genus \(13\)
Quotient genus \(0\)
Group \(C_2^3\)
Signature \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_2^3$
Group identifier: $[8,5]$
Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 2, 2, 2, 3, 3, 7, 7$

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{4}\times A_{3}\times A_{3}$
Corresponding character(s): $2, 3, 4, 6, 8$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.8-5.0.2-2-2-2-2-2-2-2-2-2.7.1

  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,7) (2,8) (3,5) (4,6)
  (1,7) (2,8) (3,5) (4,6)